%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL283-3 : TPTP v9.3.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:51:52 AM UTC 2026
% Result : Unsatisfiable 22.70s 4.63s
% Output : Refutation 22.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 15
% Syntax : Number of formulae : 80 ( 37 unt; 4 def)
% Number of atoms : 136 ( 4 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 110 ( 54 ~; 52 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 8 ( 6 usr; 5 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-2 aty)
% Number of variables : 111 ( 0 sgn 111 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : axiom(implies(or(X0,X0),X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_2) ).
fof(f2,axiom,
! [X0,X1] : axiom(implies(X0,or(X1,X0))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_3) ).
fof(f3,axiom,
! [X0,X1] : axiom(implies(or(X0,X1),or(X1,X0))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_4) ).
fof(f4,axiom,
! [X2,X0,X1] : axiom(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_5) ).
fof(f5,axiom,
! [X2,X0,X1] : axiom(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_6) ).
fof(f6,axiom,
! [X0,X1] : implies(X0,X1) = or(not(X0),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',implies_definition) ).
fof(f7,axiom,
! [X0] :
( ~ axiom(X0)
| theorem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_1) ).
fof(f8,axiom,
! [X0,X1] :
( theorem(X0)
| ~ theorem(implies(X1,X0))
| ~ theorem(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_2) ).
fof(f9,axiom,
! [X0,X1] : and(X0,X1) = not(or(not(X0),not(X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',and_defn) ).
fof(f10,axiom,
! [X0,X1] : equivalent(X0,X1) = and(implies(X0,X1),implies(X1,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equivalent_defn) ).
fof(f11,negated_conjecture,
~ theorem(equivalent(p,or(and(p,q),and(p,not(q))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f12,plain,
! [X0,X1] : equivalent(X0,X1) = not(or(not(or(not(X0),X1)),not(or(not(X1),X0)))),
inference(definition_unfolding,[],[f10,f9,f6,f6]) ).
fof(f13,plain,
~ theorem(not(or(not(or(not(p),or(not(or(not(p),not(q))),not(or(not(p),not(not(q))))))),not(or(not(or(not(or(not(p),not(q))),not(or(not(p),not(not(q)))))),p))))),
inference(definition_unfolding,[],[f11,f12,f9,f9]) ).
fof(f14,plain,
! [X2,X0,X1] : axiom(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),
inference(definition_unfolding,[],[f5,f6,f6,f6]) ).
fof(f15,plain,
! [X2,X0,X1] : axiom(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
inference(definition_unfolding,[],[f4,f6]) ).
fof(f16,plain,
! [X0,X1] : axiom(or(not(or(X0,X1)),or(X1,X0))),
inference(definition_unfolding,[],[f3,f6]) ).
fof(f17,plain,
! [X0,X1] : axiom(or(not(X0),or(X1,X0))),
inference(definition_unfolding,[],[f2,f6]) ).
fof(f18,plain,
! [X0] : axiom(or(not(or(X0,X0)),X0)),
inference(definition_unfolding,[],[f1,f6]) ).
fof(f19,plain,
! [X0,X1] :
( ~ theorem(or(not(X1),X0))
| theorem(X0)
| ~ theorem(X1) ),
inference(definition_unfolding,[],[f8,f6]) ).
fof(f20,plain,
! [X0,X1] : theorem(or(not(or(X0,X1)),or(X1,X0))),
inference(resolution,[],[f16,f7]) ).
fof(f21,plain,
! [X2,X0,X1] : theorem(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),
inference(resolution,[],[f14,f7]) ).
fof(f22,plain,
! [X2,X0,X1] : theorem(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
inference(resolution,[],[f15,f7]) ).
fof(f23,plain,
! [X0,X1] : theorem(or(not(X0),or(X1,X0))),
inference(resolution,[],[f17,f7]) ).
fof(f24,plain,
! [X0] : theorem(or(not(or(X0,X0)),X0)),
inference(resolution,[],[f18,f7]) ).
fof(f25,plain,
! [X0,X1] :
( ~ theorem(or(X1,X0))
| theorem(or(X0,X1)) ),
inference(resolution,[],[f19,f20]) ).
fof(f27,plain,
! [X2,X0,X1] :
( ~ theorem(or(X1,or(X0,X2)))
| theorem(or(X0,or(X1,X2))) ),
inference(resolution,[],[f22,f19]) ).
fof(f28,plain,
! [X0,X1] : theorem(or(X0,or(not(or(X1,X0)),X1))),
inference(resolution,[],[f27,f20]) ).
fof(f31,plain,
! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X0,X2)))
| ~ theorem(or(not(X1),X2)) ),
inference(resolution,[],[f21,f19]) ).
fof(f35,plain,
! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,X1))
| ~ theorem(or(X2,X0)) ),
inference(resolution,[],[f31,f19]) ).
fof(f43,plain,
! [X0,X1] :
( theorem(or(not(or(X0,not(X1))),X0))
| ~ theorem(X1) ),
inference(resolution,[],[f28,f19]) ).
fof(f46,plain,
! [X2,X0,X1] :
( ~ theorem(or(X0,or(X2,X1)))
| theorem(or(X0,or(X1,X2))) ),
inference(resolution,[],[f35,f20]) ).
fof(f50,plain,
! [X2,X3,X0,X1] :
( ~ theorem(or(X0,or(X1,X3)))
| theorem(or(X0,or(X1,X2)))
| ~ theorem(or(not(X3),X2)) ),
inference(resolution,[],[f35,f31]) ).
fof(f51,plain,
! [X0,X1] :
( ~ theorem(or(X0,or(X1,X1)))
| theorem(or(X0,X1)) ),
inference(resolution,[],[f35,f24]) ).
fof(f54,plain,
! [X0,X1] : theorem(or(not(X0),or(X0,X1))),
inference(resolution,[],[f46,f23]) ).
fof(f59,plain,
! [X0,X1] : theorem(or(X0,or(X1,not(or(X1,X0))))),
inference(resolution,[],[f46,f28]) ).
fof(f63,plain,
! [X0,X1] : theorem(or(X0,or(not(X0),X1))),
inference(resolution,[],[f54,f27]) ).
fof(f69,plain,
! [X0] : theorem(or(not(X0),X0)),
inference(resolution,[],[f51,f54]) ).
fof(f76,plain,
! [X0] : theorem(or(X0,not(X0))),
inference(resolution,[],[f69,f25]) ).
fof(f90,plain,
! [X0,X1] :
( theorem(or(X1,not(or(X1,not(X0)))))
| ~ theorem(X0) ),
inference(resolution,[],[f43,f25]) ).
fof(f92,plain,
! [X0,X1] :
( theorem(not(or(not(X1),not(X0))))
| ~ theorem(X0)
| ~ theorem(X1) ),
inference(resolution,[],[f90,f19]) ).
fof(f94,plain,
( ~ theorem(or(not(or(not(or(not(p),not(q))),not(or(not(p),not(not(q)))))),p))
| ~ theorem(or(not(p),or(not(or(not(p),not(q))),not(or(not(p),not(not(q))))))) ),
inference(resolution,[],[f92,f13]) ).
fof(f96,definition,
( spl0_1
<=> theorem(or(not(p),or(not(or(not(p),not(q))),not(or(not(p),not(not(q))))))) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f98,plain,
( ~ theorem(or(not(p),or(not(or(not(p),not(q))),not(or(not(p),not(not(q)))))))
| spl0_1 ),
inference(avatar_component_clause,[],[f96]) ).
fof(f100,definition,
( spl0_2
<=> theorem(or(not(or(not(or(not(p),not(q))),not(or(not(p),not(not(q)))))),p)) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f102,plain,
( ~ theorem(or(not(or(not(or(not(p),not(q))),not(or(not(p),not(not(q)))))),p))
| spl0_2 ),
inference(avatar_component_clause,[],[f100]) ).
fof(f103,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f94,f100,f96]) ).
fof(f104,plain,
! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X1,X2)))
| ~ theorem(or(not(X0),X2)) ),
inference(resolution,[],[f50,f20]) ).
fof(f107,plain,
! [X2,X3,X0,X1] :
( theorem(or(not(or(not(X0),X1)),or(not(or(X2,X0)),X3)))
| ~ theorem(or(not(or(X2,X1)),X3)) ),
inference(resolution,[],[f50,f21]) ).
fof(f116,plain,
! [X2,X3,X0,X1] :
( ~ theorem(or(not(or(X0,X1)),X2))
| theorem(or(not(or(X0,X3)),X2))
| ~ theorem(or(not(X3),X1)) ),
inference(resolution,[],[f107,f19]) ).
fof(f137,plain,
! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,X1))
| ~ theorem(or(X0,X2)) ),
inference(resolution,[],[f104,f19]) ).
fof(f142,plain,
! [X0,X1] :
( theorem(or(not(or(X0,X1)),X1))
| ~ theorem(or(not(X0),X1)) ),
inference(resolution,[],[f104,f51]) ).
fof(f146,plain,
! [X2,X0,X1] :
( theorem(or(not(or(X0,X2)),X1))
| ~ theorem(or(not(X0),X1))
| ~ theorem(or(not(X2),X1)) ),
inference(resolution,[],[f142,f116]) ).
fof(f198,plain,
! [X0,X1] : theorem(or(or(not(X0),X1),X0)),
inference(resolution,[],[f63,f25]) ).
fof(f429,plain,
! [X0,X1] :
( theorem(or(X0,not(not(X1))))
| ~ theorem(or(X1,X0)) ),
inference(resolution,[],[f137,f76]) ).
fof(f582,plain,
! [X0,X1] :
( theorem(or(not(not(X0)),X1))
| ~ theorem(or(X0,X1)) ),
inference(resolution,[],[f429,f25]) ).
fof(f815,plain,
( ~ theorem(or(not(not(or(not(p),not(q)))),p))
| ~ theorem(or(not(not(or(not(p),not(not(q))))),p))
| spl0_2 ),
inference(resolution,[],[f146,f102]) ).
fof(f819,plain,
! [X2,X3,X0,X1] :
( theorem(or(X1,or(not(or(X0,X3)),X2)))
| ~ theorem(or(not(X3),or(X1,X2)))
| ~ theorem(or(not(X0),or(X1,X2))) ),
inference(resolution,[],[f146,f27]) ).
fof(f825,definition,
( spl0_9
<=> theorem(or(not(not(or(not(p),not(not(q))))),p)) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f827,plain,
( ~ theorem(or(not(not(or(not(p),not(not(q))))),p))
| spl0_9 ),
inference(avatar_component_clause,[],[f825]) ).
fof(f829,definition,
( spl0_10
<=> theorem(or(not(not(or(not(p),not(q)))),p)) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f831,plain,
( ~ theorem(or(not(not(or(not(p),not(q)))),p))
| spl0_10 ),
inference(avatar_component_clause,[],[f829]) ).
fof(f832,plain,
( ~ spl0_9
| ~ spl0_10
| spl0_2 ),
inference(avatar_split_clause,[],[f815,f100,f829,f825]) ).
fof(f834,plain,
( ~ theorem(or(or(not(p),not(not(q))),p))
| spl0_9 ),
inference(resolution,[],[f827,f582]) ).
fof(f838,plain,
( $false
| spl0_9 ),
inference(forward_subsumption_resolution,[],[f834,f198]) ).
fof(f839,plain,
spl0_9,
inference(avatar_contradiction_clause,[],[f838]) ).
fof(f860,plain,
( ~ theorem(or(or(not(p),not(q)),p))
| spl0_10 ),
inference(resolution,[],[f831,f582]) ).
fof(f864,plain,
( $false
| spl0_10 ),
inference(forward_subsumption_resolution,[],[f860,f198]) ).
fof(f865,plain,
spl0_10,
inference(avatar_contradiction_clause,[],[f864]) ).
fof(f931,plain,
( ~ theorem(or(not(not(q)),or(not(p),not(or(not(p),not(not(q)))))))
| ~ theorem(or(not(not(p)),or(not(p),not(or(not(p),not(not(q)))))))
| spl0_1 ),
inference(resolution,[],[f819,f98]) ).
fof(f960,plain,
( ~ theorem(or(not(not(p)),or(not(p),not(or(not(p),not(not(q)))))))
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f931,f59]) ).
fof(f961,plain,
( $false
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f960,f54]) ).
fof(f962,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f961]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f103]) ).
cnf(s22,plain,
( spl0_2
| ~ spl0_9
| ~ spl0_10 ),
inference(sat_conversion,[],[f832]) ).
cnf(s24,plain,
spl0_9,
inference(sat_conversion,[],[f839]) ).
cnf(s28,plain,
spl0_10,
inference(sat_conversion,[],[f865]) ).
cnf(s34,plain,
spl0_1,
inference(sat_conversion,[],[f962]) ).
cnf(s35,plain,
spl0_2,
inference(rat,[],[s22,s28,s24]) ).
cnf(s41,plain,
$false,
inference(rat,[],[s1,s35,s34]) ).
fof(f963,plain,
$false,
inference(avatar_sat_refutation,[],[s41]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL283-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.37 % Computer : n002.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 27 15:35:21 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.42 Running first-order theorem proving
% 0.14/0.42 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 18.33/3.83 % (3685262)Input is clausal, will run a generic CNF schedule.
% 18.33/3.83 % (3685275)dis-21_1_sil=8000:lcm=predicate:random_seed=1204859701:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 18.33/3.83 % (3685269)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3349434256:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 18.33/3.83 % (3685275)Instruction limit reached!
% 18.33/3.83 % (3685275)------------------------------
% 18.33/3.83 % (3685275)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.33/3.83 % (3685275)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.33/3.83 % (3685275)CaDiCaL version: 2.1.3
% 18.33/3.83 % (3685275)Termination reason: Instruction limit
% 18.33/3.83 % (3685275)Termination phase: Saturation
% 18.33/3.83 % (3685275)Time elapsed: 0.052 s
% 18.33/3.83 % (3685275)Peak memory usage: 87 MB
% 18.33/3.83 % (3685275)Instructions burned: 120 (million)
% 18.33/3.83 % (3685271)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2526420025:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 18.33/3.83 % (3685270)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2559168643:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 18.33/3.83 % (3685274)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=978690331:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 18.33/3.83 % (3685272)lrs+10_1_sil=8000:sp=occurrence:random_seed=152338972:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 18.33/3.83 % (3685273)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1933326462:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 18.33/3.83 % (3685272)Instruction limit reached!
% 18.33/3.83 % (3685272)------------------------------
% 18.33/3.83 % (3685272)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.33/3.83 % (3685272)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.33/3.83 % (3685272)CaDiCaL version: 2.1.3
% 18.33/3.83 % (3685272)Termination reason: Instruction limit
% 18.33/3.83 % (3685272)Termination phase: Saturation
% 18.33/3.83 % (3685272)Time elapsed: 0.113 s
% 18.33/3.83 % (3685272)Peak memory usage: 89 MB
% 18.33/3.83 % (3685272)Instructions burned: 107 (million)
% 18.33/3.83 % (3685273)Instruction limit reached!
% 18.33/3.83 % (3685273)------------------------------
% 18.33/3.83 % (3685273)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.33/3.83 % (3685273)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.33/3.83 % (3685273)CaDiCaL version: 2.1.3
% 18.33/3.83 % (3685273)Termination reason: Instruction limit
% 18.33/3.83 % (3685273)Termination phase: Saturation
% 18.33/3.83 % (3685273)Time elapsed: 0.113 s
% 18.33/3.83 % (3685273)Peak memory usage: 88 MB
% 18.33/3.83 % (3685273)Instructions burned: 114 (million)
% 18.33/3.83 % (3685274)Instruction limit reached!
% 18.33/3.83 % (3685274)------------------------------
% 18.33/3.83 % (3685274)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.33/3.83 % (3685274)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.33/3.83 % (3685274)CaDiCaL version: 2.1.3
% 18.33/3.83 % (3685274)Termination reason: Instruction limit
% 18.33/3.83 % (3685274)Termination phase: Saturation
% 18.33/3.83 % (3685274)Time elapsed: 0.183 s
% 18.33/3.83 % (3685274)Peak memory usage: 89 MB
% 18.33/3.83 % (3685274)Instructions burned: 180 (million)
% 18.33/3.83 % (3685283)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=772459681:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 18.33/3.83 % (3685283)Refutation not found, incomplete strategy
% 18.33/3.83 % (3685283)------------------------------
% 18.33/3.83 % (3685283)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.33/3.83 % (3685283)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.33/3.83 % (3685283)CaDiCaL version: 2.1.3
% 18.33/3.83 % (3685283)Termination reason: Refutation not found, incomplete strategy
% 18.33/3.83 % (3685283)Time elapsed: 0.001 s
% 18.33/3.83 % (3685283)Peak memory usage: 88 MB
% 18.33/3.83 % (3685284)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2978996326:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2995 on theBenchmark for (2995ds/189Mi)
% 21.89/4.25 % (3685284)Refutation not found, incomplete strategy
% 21.89/4.25 % (3685284)------------------------------
% 21.89/4.25 % (3685284)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.89/4.25 % (3685284)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.89/4.25 % (3685284)CaDiCaL version: 2.1.3
% 21.89/4.25 % (3685284)Termination reason: Refutation not found, incomplete strategy
% 21.89/4.25 % (3685284)Time elapsed: 0.002 s
% 21.89/4.25 % (3685284)Peak memory usage: 87 MB
% 21.89/4.25 % (3685285)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2572066279:st=4:i=219:sd=3:ss=axioms_2995 on theBenchmark for (2995ds/219Mi)
% 21.89/4.25 % (3685285)Refutation not found, incomplete strategy
% 21.89/4.25 % (3685285)------------------------------
% 21.89/4.25 % (3685285)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.89/4.25 % (3685285)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.89/4.25 % (3685285)CaDiCaL version: 2.1.3
% 21.89/4.25 % (3685285)Termination reason: Refutation not found, incomplete strategy
% 21.89/4.25 % (3685285)Time elapsed: 0.003 s
% 21.89/4.25 % (3685285)Peak memory usage: 88 MB
% 21.89/4.25 % (3685285)Instructions burned: 1 (million)
% 21.89/4.25 % (3685283)------------------------------
% 21.89/4.25 % (3685283)------------------------------
% 21.89/4.25 % (3685286)lrs+10_64_to=lpo:sil=8000:random_seed=3251775438:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 21.89/4.25 % (3685286)Instruction limit reached!
% 21.89/4.25 % (3685286)------------------------------
% 21.89/4.25 % (3685286)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.89/4.25 % (3685286)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.89/4.25 % (3685286)CaDiCaL version: 2.1.3
% 21.89/4.25 % (3685286)Termination reason: Instruction limit
% 21.89/4.25 % (3685286)Termination phase: Saturation
% 21.89/4.25 % (3685286)Time elapsed: 0.117 s
% 21.89/4.25 % (3685286)Peak memory usage: 89 MB
% 21.89/4.25 % (3685286)Instructions burned: 126 (million)
% 21.89/4.25 % (3685290)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1339704300:avsq=on:i=194:fgj=on:bd=preordered_2992 on theBenchmark for (2992ds/194Mi)
% 21.89/4.25 % (3685285)------------------------------
% 21.89/4.25 % (3685285)------------------------------
% 21.89/4.25 % (3685284)------------------------------
% 21.89/4.25 % (3685284)------------------------------
% 21.89/4.25 % (3685290)Instruction limit reached!
% 21.89/4.25 % (3685290)------------------------------
% 21.89/4.25 % (3685290)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.89/4.25 % (3685290)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.89/4.25 % (3685290)CaDiCaL version: 2.1.3
% 21.89/4.25 % (3685290)Termination reason: Instruction limit
% 21.89/4.25 % (3685290)Termination phase: Saturation
% 21.89/4.25 % (3685290)Time elapsed: 0.108 s
% 21.89/4.25 % (3685290)Peak memory usage: 90 MB
% 21.89/4.25 % (3685290)Instructions burned: 196 (million)
% 21.89/4.25 % (3685292)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2703217511:i=157:gtg=all_2991 on theBenchmark for (2991ds/157Mi)
% 21.89/4.25 % (3685292)Instruction limit reached!
% 21.89/4.25 % (3685292)------------------------------
% 21.89/4.25 % (3685292)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.89/4.25 % (3685292)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.89/4.25 % (3685292)CaDiCaL version: 2.1.3
% 21.89/4.25 % (3685292)Termination reason: Instruction limit
% 21.89/4.25 % (3685292)Termination phase: Saturation
% 21.89/4.25 % (3685292)Time elapsed: 0.162 s
% 21.89/4.25 % (3685292)Peak memory usage: 91 MB
% 21.89/4.25 % (3685292)Instructions burned: 157 (million)
% 21.89/4.25 % (3685294)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=3582242:i=3394:sd=4:ss=included:sgt=64_2989 on theBenchmark for (2989ds/3394Mi)
% 21.89/4.25 % (3685295)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=4006549611:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2988 on theBenchmark for (2988ds/106Mi)
% 21.89/4.25 % (3685296)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=1467249870:i=107_2988 on theBenchmark for (2988ds/107Mi)
% 21.89/4.25 % (3685296)Refutation not found, incomplete strategy
% 21.89/4.25 % (3685296)------------------------------
% 21.89/4.25 % (3685296)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.89/4.25 % (3685296)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.89/4.25 % (3685296)CaDiCaL version: 2.1.3
% 21.89/4.25 % (3685296)Termination reason: Refutation not found, incomplete strategy
% 21.89/4.25 % (3685296)Time elapsed: 0.001 s
% 21.89/4.25 % (3685296)Peak memory usage: 87 MB
% 21.89/4.25 % (3685295)Instruction limit reached!
% 21.89/4.25 % (3685295)------------------------------
% 21.89/4.25 % (3685295)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.89/4.25 % (3685295)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.89/4.25 % (3685295)CaDiCaL version: 2.1.3
% 21.89/4.25 % (3685295)Termination reason: Instruction limit
% 21.89/4.25 % (3685295)Termination phase: Saturation
% 21.89/4.25 % (3685295)Time elapsed: 0.093 s
% 21.89/4.25 % (3685295)Peak memory usage: 88 MB
% 21.89/4.25 % (3685295)Instructions burned: 106 (million)
% 21.89/4.25 % (3685298)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=653029706:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2986 on theBenchmark for (2986ds/242Mi)
% 21.89/4.25 % (3685302)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=3132631752:cond=fast:i=5208:av=off_2985 on theBenchmark for (2985ds/5208Mi)
% 21.89/4.25 % (3685296)------------------------------
% 21.89/4.25 % (3685296)------------------------------
% 21.89/4.25 % (3685298)Instruction limit reached!
% 21.89/4.25 % (3685298)------------------------------
% 21.89/4.25 % (3685298)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.89/4.25 % (3685298)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.89/4.25 % (3685298)CaDiCaL version: 2.1.3
% 21.89/4.25 % (3685298)Termination reason: Instruction limit
% 21.89/4.25 % (3685298)Termination phase: Saturation
% 21.89/4.25 % (3685298)Time elapsed: 0.248 s
% 21.89/4.25 % (3685298)Peak memory usage: 90 MB
% 21.89/4.25 % (3685298)Instructions burned: 242 (million)
% 21.89/4.25 % (3685305)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=886967565:i=134:sd=2:doe=on:ss=axioms:sgt=14_2982 on theBenchmark for (2982ds/134Mi)
% 21.89/4.25 % (3685306)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=2260608335:i=499:bd=all_2981 on theBenchmark for (2981ds/499Mi)
% 21.89/4.25 % (3685305)Instruction limit reached!
% 21.89/4.25 % (3685305)------------------------------
% 21.89/4.25 % (3685305)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.89/4.25 % (3685305)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.89/4.25 % (3685305)CaDiCaL version: 2.1.3
% 21.89/4.25 % (3685305)Termination reason: Instruction limit
% 21.89/4.25 % (3685305)Termination phase: Saturation
% 21.89/4.25 % (3685305)Time elapsed: 0.133 s
% 21.89/4.25 % (3685305)Peak memory usage: 90 MB
% 21.89/4.25 % (3685305)Instructions burned: 135 (million)
% 21.89/4.25 % (3685309)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=687344483:i=191:fgj=on:bd=all_2978 on theBenchmark for (2978ds/191Mi)
% 21.89/4.25 % (3685309)Instruction limit reached!
% 21.89/4.25 % (3685309)------------------------------
% 21.89/4.25 % (3685309)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.89/4.25 % (3685309)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.89/4.25 % (3685309)CaDiCaL version: 2.1.3
% 21.89/4.25 % (3685309)Termination reason: Instruction limit
% 21.89/4.25 % (3685309)Termination phase: Saturation
% 21.89/4.25 % (3685309)Time elapsed: 0.109 s
% 21.89/4.25 % (3685309)Peak memory usage: 93 MB
% 21.89/4.25 % (3685309)Instructions burned: 193 (million)
% 21.89/4.25 % (3685294)First to succeed.
% 21.89/4.25 % (3685306)Instruction limit reached!
% 21.89/4.25 % (3685306)------------------------------
% 21.89/4.25 % (3685306)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.89/4.25 % (3685306)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.89/4.25 % (3685306)CaDiCaL version: 2.1.3
% 21.89/4.25 % (3685306)Termination reason: Instruction limit
% 21.89/4.25 % (3685306)Termination phase: Saturation
% 21.89/4.25 % (3685306)Time elapsed: 0.478 s
% 21.89/4.25 % (3685306)Peak memory usage: 94 MB
% 21.89/4.25 % (3685306)Instructions burned: 499 (million)
% 21.89/4.25 % (3685294)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3685262"
% 22.70/4.63 % (3685311)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=2378529139:i=264:kws=precedence:fsr=off_2974 on theBenchmark for (2974ds/264Mi)
% 22.70/4.63 % (3685311)Instruction limit reached!
% 22.70/4.63 % (3685311)------------------------------
% 22.70/4.63 % (3685311)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.70/4.63 % (3685311)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.70/4.63 % (3685311)CaDiCaL version: 2.1.3
% 22.70/4.63 % (3685311)Termination reason: Instruction limit
% 22.70/4.63 % (3685311)Termination phase: Saturation
% 22.70/4.63 % (3685311)Time elapsed: 0.129 s
% 22.70/4.63 % (3685311)Peak memory usage: 92 MB
% 22.70/4.63 % (3685311)Instructions burned: 265 (million)
% 22.70/4.63 % (3685312)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=1011430985:cond=on:i=156:bs=on:gtg=exists_all:er=known_2973 on theBenchmark for (2973ds/156Mi)
% 22.70/4.63 % (3685294)Refutation found. Thanks to Tanya!
% 22.70/4.63 % SZS status Unsatisfiable for theBenchmark
% 22.70/4.63 % SZS output start Proof for theBenchmark
% See solution above
% 22.70/4.63 % (3685294)------------------------------
% 22.70/4.63 % (3685294)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.70/4.63 % (3685294)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.70/4.63 % (3685294)CaDiCaL version: 2.1.3
% 22.70/4.63 % (3685294)Termination reason: Refutation
% 22.70/4.63 % (3685294)Time elapsed: 1.273 s
% 22.70/4.63 % (3685294)Peak memory usage: 130 MB
% 22.70/4.63 % (3685294)Instructions burned: 1191 (million)
% 22.70/4.63 % (3685294)------------------------------
% 22.70/4.63 % (3685294)------------------------------
% 22.70/4.63 % (3685262)Success in time 3.066 s
% 22.70/4.63 % Vampire exiting
%------------------------------------------------------------------------------